A high order implicit algorithm for solving instationary non-linear problems

Computational Mechanics

Volumn 28, Issue 5, 2002, Pages 375-380

  Jamal, M ^a   Braikat, B ^a   Boutmir, S ^a   Damil, N ^a   Potier Ferry, M ^b  

^a FACULTÉ DES SCIENCES BEN M SIK   (Morocco)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

High order; Homotopy; Implicit; Instationary; Non linear; Perturbation; Time space discretization

Indexed keywords

ALGORITHMS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES;

HIGH ORDER ALGORITHM; HOMOTOPY; IMPLICIT; KORTEWEG DE VRIES EQUATION; TIME SPACE DISCRETIZATION;

PROBLEM SOLVING;

EID: 0036577359     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-002-0301-7     Document Type: Article

References (19)

1. Numerical continuation methods
2. Texts on computational mechanics
3. ANM for stationary navier-stokes equations and with Petrov-Galerkin formulation
4. An asymptotic numerical method for nonlinear transient dynamics
5. The asymptotic-numerical method: An efficient perturbation technique for non-linear structural mechanics
6. An iterative method based upon Padé approximants
7. A numerical and theoretical study of certain nonlinear wave phenomena
8. New numerical solution of Korteweg de Vries equation
9. Contribution à la résolution de quelques problèmes de la physique non-linéaire
10. An iterative process based on homotopy and perturbation techniques
11. Traitement des fortes non linéarités par la méthode asymptotique numériques
12. Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations
13. Analytical and numerical aspects of certain non-linear evolution equations II. Numerical, nonlinear Schrodinger equation